Least Common Multiple of 10303 and 10307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10303 and 10307 the smallest integer that is 106193021 that is divisible by both numbers.

Least Common Multiple (LCM) of 10303 and 10307 is 106193021.

LCM(10303,10307) = 106193021

LCM of 10303 and 10307

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 10303 and 10307

LCM of 10303 and 10307 is 106193021

Least common multiple can be found by multiplying the highest exponent prime factors of 10303 and 10307. First we will calculate the prime factors of 10303 and 10307.

Prime Factorization of 10303


10303 10303
1

Prime factors of 10303 are 10303. Prime factorization of 10303 in exponential form is:

10303 = 103031

Prime Factorization of 10307


11 10307
937 937
1

Prime factors of 10307 are 11,937. Prime factorization of 10307 in exponential form is:

10307 = 111×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 10303 and 10307.

LCM(10303,10307) = 111×9371×103031
LCM(10303,10307) = 106193021

Factors of 10303

List of positive integer factors of 10303 that divides 10303 without a remainder.

1, 10303

Factors of 10307

List of positive integer factors of 10307 that divides 10307 without a remainder.

1, 11, 937, 10307

Least Common Multiple of 10303 and 10307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10303 and 10307, than apply into the LCM equation.

GCF(10303,10307) = 1
LCM(10303,10307) = ( 10303 × 10307) / 1
LCM(10303,10307) = 106193021 / 1
LCM(10303,10307) = 106193021

Properties of LCM 10303 and 10307

(i) The LCM of 10307 and 10303 is associative

LCM of 10303 and 10307 = LCM of 10307 and 10303

Related Least Common Multiples of 10303

Related Least Common Multiples of 10307

Frequently Asked Questions on LCM of 10303 and 10307

1. What is the LCM of 10303 and 10307?

Answer: LCM of 10303 and 10307 is 106193021.

2. What are the Factors of 10303?

Answer: Factors of 10303 are 1, 10303. There are 2 integers that are factors of 10303. The greatest factor of 10303 is 10303.

3. What are the Factors of 10307?

Answer: Factors of 10307 are 1, 11, 937, 10307. There are 4 integers that are factors of 10307. The greatest factor of 10307 is 10307.

4. How to Find the LCM of 10303 and 10307?

Answer:

Least Common Multiple of 10303 and 10307 = 106193021

Step 1: Find the prime factorization of 10303

10303 = 10303

Step 2: Find the prime factorization of 10307

10307 = 11 x 937

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 106193021 = 11 x 937 x 10303

Step 4: Therefore, the least common multiple of 10303 and 10307 is 106193021.